Assume that a normal distribution of data has a mean of 18 and a standard deviation of  3.use the empirical rule to find the percentage of values that lie below 24.

According to the Empirical Rule, 68% of the data in a standard normal distribution lie within 1 std. dev. of the mean; 95% within 2 std. dev., and 99.9% within 3 std. dev. of the mean.

Here the mean is 18 and the std. dev. is 3. 68% of data lie within 18-3 and 18+3, or 15 and 21.

95% lie within two std. dev. of the mean: 18-3(2) and 18+3(2), or 12 and 24.

99% lie within three std. dev. of the mean: 18-3(3) and 18+3(3), or 9 and 27.

Summing up the areas: 95% + (half of 4%) = approximately 97%.

Approx. 97% of the data lie to the left of 24.

answer: h

step-by-step explanation:

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b